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Finding the Third Proportional to 172,860 and 268,296

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Solution

The third proportional to 172,860 and 268,296 is: 416,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,860 : 268,296 = 268,296 : x
  2. Step 2: Convert to fraction form
    172,860/268,296 = 268,296/x
  3. Step 3: Cross multiply
    172,860x = 268,296 × 268,296
  4. Step 4: Simplify right side
    172,860x = 71,982,743,616
  5. Step 5: Solve for x
    x = 71,982,743,616/172,860
  6. Step 6: Final answer
    x = 416,422.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.